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Finding the Fourth Proportional to 3,516.16, 4,852.16 and 2,024.23

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Solution

The fourth proportional to 3,516.16, 4,852.16 and 2,024.23 is: 2,793.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,516.16 : 4,852.16 = 2,024.23 : x
  2. Step 2: Convert to fraction form
    3,516.16/4,852.16 = 2,024.23/x
  3. Step 3: Cross multiply
    3,516.16x = 4,852.16 × 2,024.23
  4. Step 4: Simplify right side
    3,516.16x = 9,821,877.72
  5. Step 5: Solve for x
    x = 9,821,877.72/3,516.16
  6. Step 6: Final answer
    x = 2,793.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.